Answer
See graph below
Work Step by Step
The question asks to graph the polynomial by transformation from $y = x^n$
See image below.
Given $P(x) = 32 + (x-1)^5$
Red graph is $x^5$
Blue graph is the red graph shifted to the right 1 unit
Green graph is the blue graph shifted up 32 units
x-int = -1
y-int = 31